I think the examples are mere forms of sophistry. At best they’re straw men. Take the example of one healthy patient and five sick ones. First, this is not actually the “greatest good” at all, because you’re only considering six people from the viewpoint of one doctor. Second, why calculate one murder as being of less negative value than the positive value of “saving five lives?” Third, we don’t know anything about o…
So, one is comparing “a person dying” and “5 people not dying”, unless there’s something about the experience of the death-due-to-murder and the death-due-to-illness that differs and is taking into account as part of the outcome.
If you assign value to acts, then you don’t really have utilitarianism anymore, and you can probably describe nearly any ethical system in that language?